Mathematics - Functions Question with Solution | TestHub

Let $f$ be a function defined on the set of non-negative integers and taking values in the same set. Given that:

i) $f\left(\lfloor \frac{x}{19}\rfloor \right)=\lfloor \frac{x}{90}\rfloor$ for all non-negative integers $x$. Here, $\lfloor x\rfloor$ denotes the greatest integer function.

ii) $1900\le f(1990)\le 2000$.

Then, find the possible values that $f(1990)$ can take.